A Lot of Quasitriangular Group-cograded Multiplier Hopf Algebras

作者：Yang Tao; Wang Shuan hong^*

来源：Algebras and Representation Theory, 2011, 14(5): 959-976.

DOI：10.1007/s10468-010-9259-x

• Multiplier Hopf algebra
• Twisted double
• Quasitriangular
• group-cograded multiplier Hopf algebra
• sigma-compatible pairing

A new method of constructing quasitriangular group-cograded multiplier Hopf algebras is provided. For a multiplier Hopf dual pairing sigma between regular multiplier Hopf algebras A and B, we introduce the concept of a sigma-compatible pairing (I broken vertical bar, I, sigma ), where I broken vertical bar and I are actions of the twisted semi-direct group of a group G on A and B, respectively. We construct a twisted double group-cograded multiplier Hopf algbera D(A, B; sigma, I broken vertical bar, I). Furthermore, if there is a canonical multiplier in M(B aSuaEuro parts per thousand A) we show existence of quasitriangular structure on D(A, B; sigma, I broken vertical bar, I). As an application, special cases and examples are given.

• 出版日期2011-10
• 单位东南大学